Local energy decay for the wave equation on the exterior of two balls or convex bodies

DOI10.1007/BF00251760zbMath0673.35064MaRDI QIDQ1120741

Nicholas D. Kazarinoff, De Fu Liu

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

decayinitial dataDirichlet and Neumann problemslocal energyalgebraic rateexterior of two balls

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Energy decay for hyperbolic systems of second-order equations
• Decay of solutions of the wave equation in the exterior of two convex obstacles
• Local energy decay for a class of nonstar-shaped bodies
• Exponential decay of solutions of the wave equation
• Solutions of the wave equation with localized energy
• Energy decays locally even if total energy grows algebraically with time

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